snow gum vs eucalypt

snow gum and eucalypt both are nouns.

Word	Noun	Adjective	Verb	Adverb
snow gum	Yes	No	No	No
eucalypt	Yes	No	No	No

As nouns, eucalypt is a hypernym of snow gum; that is, eucalypt is a word with a broader meaning than snow gum:

snow gum: small to medium-sized tree of Australia and Tasmania having smooth white to light-grey bark shedding in patches or strips
eucalypt: a tree of the genus Eucalyptus

Other hypernyms of snow gum include eucalyptus, eucalyptus tree.

snow gum (noun)	eucalypt (noun)
small to medium-sized tree of Australia and Tasmania having smooth white to light-grey bark shedding in patches or strips	a tree of the genus Eucalyptus